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997477416 = 233413118409
BaseRepresentation
bin111011011101000…
…100110000101000
32120111221002210000
4323131010300220
54020323234131
6242551223000
733501263265
oct7335046050
92514832700
10997477416
11472060601
1223a077a60
1312b865c30
149669226c
155c883ce6
hex3b744c28

997477416 has 80 divisors (see below), whose sum is σ = 3008798100. Its totient is φ = 306913536.

The previous prime is 997477387. The next prime is 997477471. The reversal of 997477416 is 614774799.

997477416 is a `hidden beast` number, since 99 + 74 + 77 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 995654916 + 1822500 = 31554^2 + 1350^2 .

It is a super-2 number, since 2×9974774162 = 1989922390860074112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50781 + ... + 67628.

Almost surely, 2997477416 is an apocalyptic number.

It is an amenable number.

997477416 is an abundant number, since it is smaller than the sum of its proper divisors (2011320684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

997477416 is a wasteful number, since it uses less digits than its factorization.

997477416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118440 (or 118427 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 997477416 is about 31582.8658610963. The cubic root of 997477416 is about 999.1584306263.

The spelling of 997477416 in words is "nine hundred ninety-seven million, four hundred seventy-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 118409 236818 355227 473636 710454 947272 1065681 1420908 1539317 2131362 2841816 3078634 3197043 4262724 4617951 6157268 6394086 8525448 9235902 9591129 12314536 12788172 13853853 18471804 19182258 25576344 27707706 36943608 38364516 41561559 55415412 76729032 83123118 110830824 124684677 166246236 249369354 332492472 498738708 997477416